PATH-INTEGRALS WITH GENERALIZED GRASSMANN VARIABLES

Authors
CHAICHIAN M DEMICHEV AP
Citation
M. Chaichian et Ap. Demichev, PATH-INTEGRALS WITH GENERALIZED GRASSMANN VARIABLES, Physics letters. A, 207(1-2), 1995, pp. 23-30
Citations number
19
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
207
Issue
1-2
Year of publication
1995
Pages
23 - 30
Database
ISI
SICI code
0375-9601(1995)207:1-2<23:PWGGV>2.0.ZU;2-B
Abstract
We construct path integral representations for the evolution operator of q-oscillators with root of unity values of the q-parameter using Ba rgmann-Fock representations with commuting and noncommuting variables, the differential calculi being q-deformed in both cases. For q(2) = - 1, i.e. for the case of usual anticommuting (fermionic) variables, we obtain a new form of the Grassmann-like path integral.